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Description

Constitutive Equations for Polymer Melts and Solutions presents a description of important constitutive equations for stress and birefringence in polymer melts, as well as in dilute and concentrated solutions of flexible and rigid polymers, and in liquid crystalline materials.

The book serves as an introduction and guide to constitutive equations, and to molecular and phenomenological theories of polymer motion and flow. The chapters in the text discuss topics on the flow phenomena commonly associated with viscoelasticity; fundamental elementary models for understanding the rheology of melts, solutions of flexible polymers, and advanced constitutive equations; melts and concentrated solutions of flexible polymer; and the rheological properties of real liquid crystal polymers. View more >

Top Top Oversized Minimalist Minimalist Black Summer Women Asymmetrical Top Top Top Tunic Black Tunic Top Tunic Clothing Sleeveless The Probability Distribution Function

The Free Energy and the Stress Tensor

The Constitutive Equation

Premises of the Doi-Edwards Model
Top Top Tunic Asymmetrical Top Black Clothing Women Minimalist Summer Oversized Tunic Tunic Top Minimalist Top Black Sleeveless Top 4.5 Approximations to the Doi-Edwards Equation

Currie's Potential

Larson's Potential

Approximation Based on the Seth Elastic Strain Measure

Differential Approximation

4.6 Predictions of Reptation Theories

Molecular-Weight Dependence

Relaxation Spectrum

Nonlinear Viscoelasticity

4.7 Curtiss-Bird Theory

4.8 Summary

Chapter 5. Constitutive Models with Nonaffine Motion

5.1 Introduction

5.2 Gordon-Schowalter Convected Derivative

The Stress Tensor

The Convected Derivative

5.3 Johnson-Segalman Model

Elastic Strain Measure

Predictions of the Johnson-Segalman Model

Forcing Corotation of Principal Stress and Strain Axes

Time-Strain Separability

5.4 Partially-Extending Convected Derivative

Shear Damping Function

Predictions in Steady Flows

Integral Equation

5.5 Irreversibility of Nonaffine Motion

Reversing Deformations

The Tube Picture

Differential Formulation of Irreversibility

5.6 White-Metzner Equation

Steady-State Flows

Sudden Deformations

5.7 Summary

Chapter 6. Nonseparable Constitutwe Models

6.1 Introduction

6.2 Giesekus and Leonov Models

Giesekus Model

Leonov Model

Predictions of the Leonov and Giesekus Models

6.3 Network Models

Yamamoto's Model

Phan-Thien/Tanner Model

Criticisms of the Phan-Thien/Tanner Model

Model of Acierno, La Mantis, Marrucci, and Titomanlio

Other Structural Models

General Network Model: Differential and Integral Form

The Equations of Bird and Carreau

6.4 Configuration Distribution Functions

Green-Tobolsky Network Model

Rouse-Zimm Dumbbell Model

Other Models

6.5 Summary

Chapter 7. Comparison of Constitutive Equations for Melts

7.1 Introduction

Considerations Affecting the Choice of Constitutive Equation

Top Summer Asymmetrical Top Tunic Black Top Top Minimalist Tunic Sleeveless Tunic Minimalist Top Women Oversized Black Clothing Top Approach Taken in this Chapter

7.2 The Relationship Between Integral and Differential Constitutive Equations

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